Tuesday, November 22, 2022 2:00 pm
-
2:00 pm
EST (GMT -05:00)
Brady Ali Medina, Department of Pure Mathematics, University of Waterloo
"Lifting a co-Higgs field to a Poisson structure"
A quadratic Poisson structure on a holomorphic vector bundle V with coisotropic fibers induces a co-Higgs field on V. We could ask ourselves what does it take to recover the quadratic Poisson structure from its co-Higgs field. It has been proven by Mykola M. that under certain conditions a co-Higgs field on a rank-2 vector bundle V over P^1 lifts to a Poisson structure on V. In this talk, we are going to show that it is possible to extend this result for a co-Higgs field on a rank-2 vector bundle V over a complex manifold.
MC 5403